Simplify the polynomial expression: (3y2+y+10)−(2y2−7y+12)
1 answer:
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Answer:
a = 16
b =
Step-by-step explanation:
Length of the design 16 inches is represented by the point (0, 16) and length of 12 inches by (1, 12).
That means these points lie on the graph of the function 'f' represented by,
f(x) = a(b)ˣ
For the point (0, 16),
f(0) = a(b)⁰
16 = a(1)
a = 16
For another point (1, 12),
f(1) = a(b)¹
12 = ab
12 = 16(b) [Since a = 16]
b =
b =
Therefore, values of a and b are 16 and respectively.
<h2>Perfect Squares</h2>
Perfect square formula/rules:
Trinomials are often organized like .
The <em>b</em> value in this case is <em>c</em>, and it will always equal the square of half of the <em>b</em> value.
- Perfect square trinomial:
- or
We're given:
In a trinomial, we're given the and
values. <em>a</em> in this case is 1 and <em>b</em> in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:
- 4 ÷ 2 = 2
- 2² = 4
Therefore, the term that we can add is + 4.
To write this as the square of a bracketed expression, we can follow the rule :